What is the Least Common Multiple of 88110 and 88117?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 88110 and 88117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88110 and 88117, than apply into the LCM equation.

GCF(88110,88117) = 1
LCM(88110,88117) = ( 88110 × 88117) / 1
LCM(88110,88117) = 7763988870 / 1
LCM(88110,88117) = 7763988870

Least Common Multiple (LCM) of 88110 and 88117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88110 and 88117. First we will calculate the prime factors of 88110 and 88117.

Prime Factorization of 88110

Prime Factorization of 88117

Now multiplying the highest exponent prime factors to calculate the LCM of 88110 and 88117.

LCM(88110,88117) = 2¹ × 3² × 5¹ × 11¹ × 89¹ × 88117¹
LCM(88110,88117) = 7763988870